Answered

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Help!!Hurry!!!! NO SPAM!!!!!!!!! I will give brainliest if you get it correct, and show your work. √(5x+21)=x+3

Sagot :

devishri1977

Answer:

Step-by-step explanation:

[tex]\sqrt{5x+21}=x+ 3 \\\\Take \ square \\\\\\5x + 21 = (x + 3)^{2}[/tex]

5x + 21 = x² + 2*x*3 + 3²

5x + 21 = x² +6x + 9

x² + 6x+9 -5x - 21 = 0

x² + 6x - 5x +  9 -21 = 0

x² + x - 12 = 0

Sum = 1

Product = -12

Factors = 4 , -3    {4*(-3) = -12  and 4 + (-3) = 1}

x² + 4x - 3x - 12 = 0

x(x + 4) - 3(x +4) = 0

(x + 4)(x - 3) =0

x = - 4 , 3

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